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(Radiology. 2000;216:284-290.)
© RSNA, 2000


Technical Developments

Automated Polyp Detector for CT Colonography: Feasibility Study1

Ronald M. Summers, MD, PhD, Christopher F. Beaulieu, MD, PhD, Lynne M. Pusanik, MEng, James D. Malley, PhD, R. Brooke Jeffrey, Jr, MD, Daniel I. Glazer and Sandy Napel, PhD

1 From the Department of Diagnostic Radiology, Warren Grant Magnuson Clinical Center, National Institutes of Health, Bldg 10, Rm 1C660, 10 Center Dr MSC 1182, Bethesda, MD 20892-1182 (R.M.S., L.M.P., J.D.M.), and the Department of Radiology, Stanford University Medical Center, Stanford, Calif (C.F.B., R.B.J., D.I.G., S.N.). Received August 5, 1999; revision requested September 24; revision received November 8; accepted November 16. Supported in part by the intramural research programs of the Diagnostic Radiology Department, Clinical Center, Bethesda, Md; National Institutes of Health grants 1R01 CA72023 and LM 07033; Silicon Graphics, Mountain View; the Packard Foundation, Los Altos, Calif; the Lucas Foundation, Menlo Park, Calif; and the Phil N. Allen Trust, Menlo Park, Calif. C.F.B. supported in part by an RSNA Research and Education Foundation Scholar Award. Address correspondence to R.M.S. (e-mail: rms@nih.gov).


    ABSTRACT
 TOP
 ABSTRACT
 INTRODUCTION
 Materials and Methods
 Results
 Discussion
 REFERENCES
 
An abdominal computed tomographic scan was modified by inserting 10 simulated colonic polyps with use of methods that closely mimic the attenuation, noise, and polyp–colon wall interface of naturally occurring polyps. A shape-based polyp detector successfully located six of the 10 polyps. When settings that enhanced the edge profile of polyps were chosen, eight of 10 polyps were detected. There were no false-positive detections. Shape analysis is technically feasible and is a promising approach to automated polyp detection.

Index terms: Colon, CT, 75.12111, 75.12115, 75.12117 • Colon, neoplasms, 75.3119 • Computed tomography (CT), image display and recording, 75.12115, 75.12117 • Computed tomography (CT), three-dimensional, 75.12117 • Computers, simulation • Phantoms


    INTRODUCTION
 TOP
 ABSTRACT
 INTRODUCTION
 Materials and Methods
 Results
 Discussion
 REFERENCES
 
The American Cancer Society estimates that 10% of new cancer cases and cancer deaths in 1999 will be due to cancer of the colon and rectum (1). Many of these cases can be prevented if precursor malignant colonic polyps are detected early and removed. Currently, the best technique for detection of colonic polyps is colonoscopy. Computed tomographic (CT) colonography is a new method for detection of colonic polyps that is now undergoing evaluation at a number of research hospitals (25). In contrast to colonoscopy, CT colonography is less invasive and does not require sedation.

The appropriate way to perform and interpret CT colonographic studies is still in evolution. Findings in a preliminary clinical study suggest that optimal interpretation consists primarily of using the two-dimensional images supplemented where needed with analysis of three-dimensional (virtual colonoscopic) reconstructions (6). Other work suggests that three-dimensional views may increase detection when used either alone (7) or in combination with two-dimensional images (8). Because a typical CT colonographic study consists of many CT scans (300–600 for supine and prone studies depending on technique), it is time-consuming to interpret (9). There is also a need to improve the sensitivity of CT colonography, which in preliminary reports is 75%–83% for polyps 8–10 mm in diameter or larger (6,10). We hypothesized that computer-assisted polyp detection could potentially improve efficiency of interpretation and increase sensitivity. For these reasons, we developed a computer-assisted detection algorithm and tested it in an established phantom model for colonic polyps.


    Materials and Methods
 TOP
 ABSTRACT
 INTRODUCTION
 Materials and Methods
 Results
 Discussion
 REFERENCES
 
Subject
A 60-year-old man who underwent sigmoidoscopy was found to have a solitary diminutive polyp (<5 mm) in the rectosigmoid colon and an incidental lipoma in the ascending colon or hepatic flexure. He was enrolled in a clinical trial comparing CT colonography with fiberoptic colonoscopy. The study was approved by the review board for human subjects research at the Stanford University Medical Center, and the subject gave informed consent. Prior to arrival at CT, the patient underwent standard precolonoscopic cleansing (GoLytely; Braintree Laboratories, Braintree, Mass). After insufflation of the colon with room air, CT of the abdomen and pelvis was performed in the supine position with a commercially available scanner (HiSpeed Advantage; GE Medical Systems, Milwaukee, Wis) at 120 kVp, 200 mA, 3-mm collimation, 6 mm/sec table speed (pitch of 2.0), 1-second gantry rotation period, with a single 60-second exposure obtained during suspended respiration at end inspiration. Scans were reconstructed at 1.0-mm intervals with a field of view of 36 cm by using the manufacturer's standard reconstruction kernel. Images were reconstructed on a 512 x 512 matrix, resulting in an in-plane pixel diameter of 0.703 mm.

Image Processing
Simulated polyps.—Polyp synthesis and methods for merging the synthetic lesions with the patient's CT data have been described in detail elsewhere (7,11). Briefly, lesions were simulated as spheric structures 10 mm in diameter by using CT simulator software that models the attenuation, pixel dimensions, and partial volume characteristics of the helical CT scanner. Lesions were composited with the subject's CT data by using nonlinear methods that minimize the appearance of artifacts at the interface of the added lesion and the native colon wall and match image noise characteristics between the synthetic lesion and the background data. Ten identical synthetic lesions were inserted in the colon as follows: Random points along a previously computed central path extending from the cecum to the rectum (12) were identified, then, random radial rays were generated from the path points to the colon wall. The x, y, and z coordinates of the intersection of these rays with the colon wall represented the insertion locations for the center of the synthetic lesions. Although there is the possibility that portions of the colonic wall could be hidden from view by folds (and therefore polyps could not be placed into these hidden spots), our preliminary work indicates that approximately 99% of the colonic wall is accessible with this technique. With use of these coordinates, we merged the lesion data with the patient data, aiming for hemispheric final lesions with one-half of their diameter (5 mm) protruding from the colon wall.

Although the polyps were nominally 10 mm in diameter, the effective size of any polyp depends on the proximity of adjacent structures (such as haustra) or technical factors (such as z-axis broadening). In contrast to the 5-mm protrusion used to position the simulated polyps, the effective size is what a colonoscopist would measure (ie, the effective diameter of the polyp). We measured the effective size by picking points on the edges of the polyp and measuring the distance between the points. Points are picked by being selected with a computer mouse to identify the polyp edge on the three-dimensional surface model. The software locates the vertex projecting nearest to the selected point and uses that information to compute the distance.

Polyp detection.—We transferred the CT images of the colons (one with and the other without synthetic polyps) to a computer workstation (Indigo2 workstation with MAXIMUM IMPACT graphics; Silicon Graphics, Mountain View, Calif). We produced a three-dimensional surface-rendered image of the colons by using our research endoscopic software package. This software provides a realistic endoscopic display of the colonic lumen (1315). The software was originally developed for virtual bronchoscopy and was adapted for use in CT colonography.

Two experiments were performed. In the first experiment, the CT data were converted from 12 to 8 bits with use of a window level of -475 HU and window width of 1,050 HU. The threshold for generation of the surface was -800 HU. In the second experiment, we converted the CT data from 12 to 8 bits with use of a window level of -225 HU and window width of 550 HU. For the second experiment, the threshold for generation of the surface was -300 HU. The parameters used for the second experiment were based on our observations (of transverse CT images and perspective endoluminal reconstruction images of the colon phantom) that they highlighted the profile of the polyps and improved separation of polyps from adjacent folds. The window width and level settings for the second experiment were a modified version of those used in reference 7 for detection of colonic polyps on transverse CT scans.

In both experiments, the window width was set so that data up to 50 HU were preserved. We identified voxels within the colonic lumen with use of region growing and an upper threshold of -180 HU. The lumen was dilated by two voxels to provide data within the colonic wall. To preserve maximum surface detail, triangle reduction (decimation) was not used. Isolated triangles (those not attached to the colon wall) were removed by means of commercially available software (IMEDIT, version 3.0; Innovmetric Software, Sainte-Foy, Quebec, Canada). This procedure took approximately 2 minutes. Surface-rendered images of the colon and polyps were smoothed for purposes of presentation (16).

We divided the CT data set into two overlapping parts (upper abdomen or lower abdomen and pelvis, 4.5 cm overlap) because of its large size (355 images, 178 Mbytes). We analyzed the two parts individually and combined the results. If a polyp was detected by the algorithm in one of the two parts but not in the other in the area of overlap, it was considered a true-positive detection. This situation occurred when a polyp was near or at the edge of the data set in one of the two parts.

Polyp detection was performed by using software with a prototypic automated polyp detector that identifies regions of the colon wall with abnormal shape. This polyp detector is a modified version of a lesion detector previously shown to identify endobronchial lesions successfully (17,18). As in reference 17, the primary shape criterion for the polyp detector is elliptic curvature of the peak subtype. In simpler terminology, this criterion describes areas that protrude inward from the wall of the colon and are circumferentially round (ie, polypoid). The principle behind the method is shown in Figure 1. The faster convolution-based curvature method described in reference 18 was used with a 5 x 5 x 7-mm kernel. The size of the kernel is that used successfully in reference 18 corrected for the voxel dimensions of the current CT data set. Up to this point, the detection of colonic polyps recaps that of detection of polypoid airway lesions (17,18).



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Figure 1a. Illustration of shape-based colonic polyp detection. (a) In a hypothetical portion of the colonic surface, there are two polyps (arrows), one on a fold (small arrow) and the other between two folds (large arrow). (b) After the polyp-detection algorithm is applied, the surface is colored to indicate regions of different shapes. Colors indicate curvature type: orange to red, elliptic of the peak subtype; yellow, elliptic of the pit subtype; green, hyperbolic (17). The algorithm has clearly distinguished polyps from haustral folds and normal colonic surface in this ideal example.

 


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Figure 1b. Illustration of shape-based colonic polyp detection. (a) In a hypothetical portion of the colonic surface, there are two polyps (arrows), one on a fold (small arrow) and the other between two folds (large arrow). (b) After the polyp-detection algorithm is applied, the surface is colored to indicate regions of different shapes. Colors indicate curvature type: orange to red, elliptic of the peak subtype; yellow, elliptic of the pit subtype; green, hyperbolic (17). The algorithm has clearly distinguished polyps from haustral folds and normal colonic surface in this ideal example.

 
Additional, more restrictive criteria were needed with the primary shape criterion to narrow the list of potential polyps and reduce false-positive cases. The more restrictive criteria were chosen on the basis of the expected shape characteristics of 10-mm polyps and consist of the following: the mean curvature, H, the average of the principal curvatures {kappa}max and {kappa}min (expressed per centimeter); the dimensionless sphericity ratio S = |({kappa}min - {kappa}max)/H|; and minimum polyp size (expressed in centimeters). The mean curvature corresponds inversely to the size of the polyp. The sphericity expresses the uniformity of the shape of the potential polyp. By setting an upper limit on the sphericity, those portions of the colon wall that are shaped like ridges (curved in one direction and less curved in the perpendicular direction, such as portions of some haustral folds) can be eliminated. Perfect spheres have a sphericity of 0. Sphericity was computed with max, min, and , which are averages of the corresponding curvature values taken over all vertices in the lesion. Setting the minimum acceptable polyp size reduces the effect of noise. It takes about 30 minutes of processing time to compute the curvatures and apply the shape criteria.

The data were processed by one of the authors (R.M.S.), unblinded to the actual polyp location. Sensitivity was determined by counting the number of detected lesions. The number of false-positive polyp detections was determined. Histographic analysis of curvature was performed in an effort to better understand the shape characteristics of the colon.


    Results
 TOP
 ABSTRACT
 INTRODUCTION
 Materials and Methods
 Results
 Discussion
 REFERENCES
 
Transverse CT scans through the colon obtained both before and after insertion of the artificial digital polyp are shown in Figure 2. An anteroposterior view of the three-dimensional surface rendering of the colon bearing 10 simulated polyps is shown in Figure 3, as is a shape analysis of the colon with color encoding. Two of the polyps are visible on the anteroposterior view. A perspective rendered endoscopic image of one of the polyps is shown in Figure 4. The red-to-orange color of the polyp on the shape analysis indicates that the polyp meets the primary shape criterion. All 10 polyps met the primary shape criterion (Fig 5), but 9% (52,000 of 567,000 vertices) of the colonic surface met this criterion, yielding almost 3,500 individual polyps.



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Figure 2. Transverse CT scan through the abdomen of a 60-year-old man whose colon was normal at colonoscopy except for a diminutive rectosigmoid polyp and an incidental ascending colon or hepatic flexure lipoma. Scan is shown before (top) and after (bottom) insertion of a simulated polyp (arrow) into the transverse colon.

 


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Figure 3a. (a-c) Anteroposterior three-dimensional surface-rendered images of colon. Ten simulated polyps are scattered randomly throughout the colon. Rendered images were obtained (a) without and (b) with color encoding that identifies the various fundamental shape features. In b, the colors indicate the curvature type: orange to red, elliptic of the peak subtype; yellow, elliptic of the pit subtype; green, hyperbolic; magenta, cylindric plane; purple, cylindric ridge; blue, cylindric valley (17). Principal curvatures with small magnitude (|{kappa}| < 0.1 cm-1) were set to 0 for purposes of identifying cylindric curvature. The colon is primarily composed of hyperbolic curvature and elliptic curvature of the pit subtype. (c) Two polyps (arrows) in the transverse colon are visible and have a distinctive orange color, indicating elliptic curvature of the peak subtype. Only parts of the colon that meet both the primary and restrictive shape criteria are shown. The two polyps are detected with these criteria. The false-positive detections are not visible. The amount of specular reflection (shininess) has been reduced to improve visibility of the polyps.

 


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Figure 3b. (a-c) Anteroposterior three-dimensional surface-rendered images of colon. Ten simulated polyps are scattered randomly throughout the colon. Rendered images were obtained (a) without and (b) with color encoding that identifies the various fundamental shape features. In b, the colors indicate the curvature type: orange to red, elliptic of the peak subtype; yellow, elliptic of the pit subtype; green, hyperbolic; magenta, cylindric plane; purple, cylindric ridge; blue, cylindric valley (17). Principal curvatures with small magnitude (|{kappa}| < 0.1 cm-1) were set to 0 for purposes of identifying cylindric curvature. The colon is primarily composed of hyperbolic curvature and elliptic curvature of the pit subtype. (c) Two polyps (arrows) in the transverse colon are visible and have a distinctive orange color, indicating elliptic curvature of the peak subtype. Only parts of the colon that meet both the primary and restrictive shape criteria are shown. The two polyps are detected with these criteria. The false-positive detections are not visible. The amount of specular reflection (shininess) has been reduced to improve visibility of the polyps.

 


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Figure 3c. (a-c) Anteroposterior three-dimensional surface-rendered images of colon. Ten simulated polyps are scattered randomly throughout the colon. Rendered images were obtained (a) without and (b) with color encoding that identifies the various fundamental shape features. In b, the colors indicate the curvature type: orange to red, elliptic of the peak subtype; yellow, elliptic of the pit subtype; green, hyperbolic; magenta, cylindric plane; purple, cylindric ridge; blue, cylindric valley (17). Principal curvatures with small magnitude (|{kappa}| < 0.1 cm-1) were set to 0 for purposes of identifying cylindric curvature. The colon is primarily composed of hyperbolic curvature and elliptic curvature of the pit subtype. (c) Two polyps (arrows) in the transverse colon are visible and have a distinctive orange color, indicating elliptic curvature of the peak subtype. Only parts of the colon that meet both the primary and restrictive shape criteria are shown. The two polyps are detected with these criteria. The false-positive detections are not visible. The amount of specular reflection (shininess) has been reduced to improve visibility of the polyps.

 


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Figure 4a. (a-c) Perspective rendered endoscopic images of simulated polyp. A polyp in the midtransverse colon (corresponding to the more distal arrow in Figure 3) is shown in the foreground (long arrows in a). As in Figure 3, the polyp is shown both (a) without and (b, c) with color encoding. The colors indicate the curvature type: orange to red, elliptic of the peak subtype; yellow, elliptic of the pit subtype; green, hyperbolic; magenta, cylindric plane; purple, cylindric ridge; blue, cylindric valley (17). In b, all curvatures are colored. In c, only parts of the colon that meet both the primary and restrictive shape criteria are shown. The polyp consists primarily of elliptic curvature of the peak subtype and meets the restrictive shape criteria. Multiple haustral folds are visible just beyond the polyp (short arrows in a).

 


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Figure 4b. (a-c) Perspective rendered endoscopic images of simulated polyp. A polyp in the midtransverse colon (corresponding to the more distal arrow in Figure 3) is shown in the foreground (long arrows in a). As in Figure 3, the polyp is shown both (a) without and (b, c) with color encoding. The colors indicate the curvature type: orange to red, elliptic of the peak subtype; yellow, elliptic of the pit subtype; green, hyperbolic; magenta, cylindric plane; purple, cylindric ridge; blue, cylindric valley (17). In b, all curvatures are colored. In c, only parts of the colon that meet both the primary and restrictive shape criteria are shown. The polyp consists primarily of elliptic curvature of the peak subtype and meets the restrictive shape criteria. Multiple haustral folds are visible just beyond the polyp (short arrows in a).

 


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Figure 4c. (a-c) Perspective rendered endoscopic images of simulated polyp. A polyp in the midtransverse colon (corresponding to the more distal arrow in Figure 3) is shown in the foreground (long arrows in a). As in Figure 3, the polyp is shown both (a) without and (b, c) with color encoding. The colors indicate the curvature type: orange to red, elliptic of the peak subtype; yellow, elliptic of the pit subtype; green, hyperbolic; magenta, cylindric plane; purple, cylindric ridge; blue, cylindric valley (17). In b, all curvatures are colored. In c, only parts of the colon that meet both the primary and restrictive shape criteria are shown. The polyp consists primarily of elliptic curvature of the peak subtype and meets the restrictive shape criteria. Multiple haustral folds are visible just beyond the polyp (short arrows in a).

 


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Figure 5a. (a, b) Perspective endoluminal projection images show mosaic of 10 simulated colonic polyps. The colors indicate the curvature type: orange to red, elliptic of the peak subtype; yellow, elliptic of the pit subtype; green, hyperbolic; magenta, cylindric plane; purple, cylindric ridge; blue, cylindric valley (17). Nine of the 10 polyps consist primarily of elliptic curvature of the peak subtype; the remaining polyp (lower left images in a and b) consists primarily of hyperbolic curvature but contains some elliptic curvature of the peak subtype. Several haustral folds are visible. In a, all curvature types are shown. In b, both the primary and secondary (more restrictive) criteria were applied, and only portions of colonic surface that met these criteria are colored. Six of the 10 polyps (large arrows) met the more restrictive criteria. Four polyps that did not meet the restrictive criteria (small arrows) were the smallest of the group, which may explain why they were not detected. Sizes of the polyps are listed in the Table. Apparent differences in polyp sizes (they were all nominally 10 mm in diameter) can be explained by a variety of factors, including perspective rendering effect, relationship to adjacent haustral folds, and z-axis broadening.

 


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Figure 5b. (a, b) Perspective endoluminal projection images show mosaic of 10 simulated colonic polyps. The colors indicate the curvature type: orange to red, elliptic of the peak subtype; yellow, elliptic of the pit subtype; green, hyperbolic; magenta, cylindric plane; purple, cylindric ridge; blue, cylindric valley (17). Nine of the 10 polyps consist primarily of elliptic curvature of the peak subtype; the remaining polyp (lower left images in a and b) consists primarily of hyperbolic curvature but contains some elliptic curvature of the peak subtype. Several haustral folds are visible. In a, all curvature types are shown. In b, both the primary and secondary (more restrictive) criteria were applied, and only portions of colonic surface that met these criteria are colored. Six of the 10 polyps (large arrows) met the more restrictive criteria. Four polyps that did not meet the restrictive criteria (small arrows) were the smallest of the group, which may explain why they were not detected. Sizes of the polyps are listed in the Table. Apparent differences in polyp sizes (they were all nominally 10 mm in diameter) can be explained by a variety of factors, including perspective rendering effect, relationship to adjacent haustral folds, and z-axis broadening.

 
Histographic analysis of the lesion-free colon and of a polyp shed light on the problem to be solved (Fig 6). The polyps represented a tiny fraction of the total surface area of the colon and were not visible in the histogram. The histograms of the lesion-free colon and the lesion-bearing colon were nearly identical. The polyp in Figure 4 was composed almost entirely of elliptic curvature of the peak subtype; its histogram is shown in Figure 6. Other polyps were composed of both elliptic curvature of the peak subtype and hyperbolic curvature (Fig 5). Hyperbolic curvature was a frequent feature of haustral folds and was not used further for identifying polyps (Fig 4).



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Figure 6a. (a-c) Histographic analyses of curvature of the (a) entire colon and (b) simulated polyp in Figure 4. Only vertices that met the primary shape criterion are shown. Note the marked difference in scale of the y axis (number of vertices), because the number of vertices that make up the entire colon is much greater than that of a polyp. Plots show the number of vertices that compose the surface of the colon or polyp for each of the four curvature measures: Gaussian, or K; mean, or H; minimum principal, or {kappa}min; and maximum principal, or {kappa}max. For each histogram, vertices were placed into one of 100 bins for the entire colon and one of 40 bins for the polyp. Note the considerable degree of overlap of the matching curves when the polyp and entire colon are compared, hence, the necessity for more restrictive shape criteria. This is made explicit in c, where the mean curvatures for the entire colon and a polyp are compared. Mean curvature was used as the basis of this study.

 


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Figure 6b. (a-c) Histographic analyses of curvature of the (a) entire colon and (b) simulated polyp in Figure 4. Only vertices that met the primary shape criterion are shown. Note the marked difference in scale of the y axis (number of vertices), because the number of vertices that make up the entire colon is much greater than that of a polyp. Plots show the number of vertices that compose the surface of the colon or polyp for each of the four curvature measures: Gaussian, or K; mean, or H; minimum principal, or {kappa}min; and maximum principal, or {kappa}max. For each histogram, vertices were placed into one of 100 bins for the entire colon and one of 40 bins for the polyp. Note the considerable degree of overlap of the matching curves when the polyp and entire colon are compared, hence, the necessity for more restrictive shape criteria. This is made explicit in c, where the mean curvatures for the entire colon and a polyp are compared. Mean curvature was used as the basis of this study.

 


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Figure 6c. (a-c) Histographic analyses of curvature of the (a) entire colon and (b) simulated polyp in Figure 4. Only vertices that met the primary shape criterion are shown. Note the marked difference in scale of the y axis (number of vertices), because the number of vertices that make up the entire colon is much greater than that of a polyp. Plots show the number of vertices that compose the surface of the colon or polyp for each of the four curvature measures: Gaussian, or K; mean, or H; minimum principal, or {kappa}min; and maximum principal, or {kappa}max. For each histogram, vertices were placed into one of 100 bins for the entire colon and one of 40 bins for the polyp. Note the considerable degree of overlap of the matching curves when the polyp and entire colon are compared, hence, the necessity for more restrictive shape criteria. This is made explicit in c, where the mean curvatures for the entire colon and a polyp are compared. Mean curvature was used as the basis of this study.

 
When the more restrictive criteria were applied, six of the 10 polyps were detected. The restrictive criteria were an average of the principal curvatures, H, between -3 and -1 cm-1; sphericity ratio, S, of 1.0 or less; and polyp size of 0.5 cm or more. Of the 567,000 vertices, 2,000 (0.4%) met the restrictive criteria. The restrictive criterion for mean curvature, H, identifies polyps well because the radius of curvature for a 1-cm spheric polyp is 0.5 cm and its mean curvature is -2 cm-1 (the negative sign indicates the peak subtype of elliptic curvature). The four undetected polyps were the smallest of the 10 polyps, and three of them blended into one or two adjacent haustral folds (Table, Fig 5). The sensitivity for detection of large polyps (>=10 mm) was 100% (six of six).


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Effective Sizes of Synthetic Polyps
 
Among the 16 detections (discounting two duplicate detections in the region of overlap), there were three false-positive detections with the more restrictive criteria. The ileocecal valve (six detections) and an incidental lipoma (one detection) were also detected. These were not considered false-positive cases. The ileocecal valve is a normal polypoid anatomic structure, and its location is predictable.

Of the three false-positive polyps, one was located at the edge of the divided data set in the area of overlap and was readily discarded as an artifact. The other two false-positive cases were plausible polyps that required further analysis by the radiologist. On the basis of our best ability to reconcile results at CT colonography with those at fiberoptic endoscopy, one of the false-positive cases may in fact be the diminutive polyp that was originally found at sigmoidoscopy. It was measured as 4 mm in diameter at colonoscopy and 5 mm in diameter on the transverse CT scan.

We found that all three false-positive cases could be distinguished from the true-positive cases by means of the average Gaussian curvature: K = {kappa}max x {kappa}min, where is the mean of K of the detected vertices. All polyps and no false-positive cases had average Gaussian curvature, , of 2.2 cm-2 or more. This works because for a sphere with diameter of 1 cm, K =  = 4 cm-2.

The second experiment was designed to determine whether the sensitivity for polyp detection would increase if the thresholds were adjusted to enhance the profile of polyps and diminish the profile of haustral folds. With use of the same data set and the second set of thresholds, the sensitivity increased as eight of 10 polyps were detected (all but polyps 7 and 10). With Gaussian curvature, , of 3.3 cm-2 or more and sphericity ratio, S, of 0.8 or less, all eight polyps were identified and all false-positive cases were excluded. The cutoff values for and S are correct because the polyps become slightly smaller (higher curvature) and rounder (lower sphericity) when the isosurface threshold is increased. The lipoma was not detected in the second experiment, in which the higher thresholds were used, probably because it shrunk more than the polyps did.


    Discussion
 TOP
 ABSTRACT
 INTRODUCTION
 Materials and Methods
 Results
 Discussion
 REFERENCES
 
We have shown that a shape-based algorithm can detect simulated colonic polyps at CT colonography. Our method is based on the identification of curvature signatures characteristic of colonic polyps (elliptic curvature of the peak subtype). We have also shown that supplemental curvature criteria must be used to reduce the number of false-positive polyp detections.

As currently practiced, analysis at CT colonography is time-consuming. Interpretation times of 15 minutes to 1 hour per patient have been reported (3,9). Computer-assisted diagnostic methods such as ours may help improve efficiency by directing the physician's attention to sites likely to harbor polyps (15). This efficiency involves not only identifying with high sensitivity any suspicious lesions but also minimizing the number of false-positive observations.

The sensitivity of the method used in this study (100%) was comparable to sensitivities reported for colonoscopy (94%), barium enema examination (65%–75%), and CT colonography (75%–83%) for detection of large polyps (6,10,19,20). The sensitivity of our method for all polyps (60%) is lower in part because the effective size of the four missed polyps was only 8–9 mm. We attempted to insert polyps one-half their diameter so they would protrude 5 mm and have an effective size of 10 mm, but visual and quantitative analysis showed the four missed polyps to be less well placed and, thus, effectively smaller. The results were also affected by depth of insertion of the polyps tested. Thus, as a first step, our approach appears promising and worthy of additional study.

We found that we could increase the sensitivity to 80% (eight of 10 polyps) by using thresholds that enhance the surface profile of polyps. These thresholds worked in part by diminishing the surface profile of adjacent haustral folds. It is unknown whether this tactic would reduce the sensitivity of detection of polyps arising entirely from a haustral fold. In addition, the result of thresholding will be affected by data acquisition parameters (collimation, helical pitch, and reconstruction interval) that influence partial volume averaging, and systematic studies of these effects are necessary (21).

The number of false-positive polyp detections (n = 3) is reasonable when one takes into account that there are 355 images in the CT colonographic data set. We found that an additional parameter (Gaussian curvature) could be used to distinguish the polyps from the false-positive cases. When these methods are applied to real polyps, additional approaches to reduce false-positive detections may be necessary. For example, more complex shape criteria derived from curvature or statistical analyses of the curvatures of the vertices that compose the potential polyp (18) could be constructed. Analysis of the curvature histogram may be useful for developing these solutions. Similar approaches might increase the sensitivity.

Measurement of curvature is a standard image processing method in both two and three dimensions. A typical use is analysis of the boundary of a segmented object (22). The application of curvature analyses to virtual endoscopy is relatively recent. In one study, curvature analysis was used to locate aneurysms and stenoses in the aorta (23). In another study, curvature analysis resulted in successful identification of polypoid endobronchial lesions at virtual bronchoscopy with sensitivities of 47%–88% and specificities of 58%–89% depending on the value of an adjustable parameter (the mean curvature threshold) (17). In the latter study, the sensitivity increased by 20%–34% when only larger lesions (>5 mm) were considered. An abstract describing the concomitant use of curvature and wall thickness to identify colonic polyps has also appeared (24). False-positive detections were a problem in that study too, although the number of such false-positive cases was not reported.

When compared with results in the tracheobronchial tree, the sensitivity of this method applied to the colon was lower (17,18). This is in part because the shape of the colonic wall is more complex than that of the airway. For example, the airway is mainly a smooth bifurcating tube with some rippling due to cartilaginous rings. External structures such as the esophagus or vessels can modify its cylindric shape, but these changes are usually in predictable locations. In contrast, the size and shape of the colon varies greatly depending on how well it is distended. Haustral folds are also more variable in appearance than are cartilaginous rings on endoluminal rendered CT images of the tracheobronchial tree.

Our method requires segmentation of the colonic lumen. The segmentation could be performed by a trained technologist. A radiologist can check the adequacy of the segmentation by inspecting a single image, an anteroposterior projection of the surface reconstruction of the colon. The radiologist can use the same image to determine the quality of bowel distention.

This study has several limitations. We studied only one colon. Additional colons need to be studied since the size and distention of the colon affect its curvature. For example, a less distended colon has greater curvature than does a well-distended colon, and its curvature may overlap in an entirely different way with that of the polyps. It may be possible to address this problem by tailoring the shape criteria to the local amount of colonic distention. Collapsed segments of bowel are uninterpretable with this technique, although CT colonographic sensitivity in general is low in collapsed segments. Additional colons need to be studied so that specificity can be computed.

Only a supine CT colonographic study was used. Many researchers advocate the use of both prone and supine CT colonography to improve the yield in collapsed colonic segments.

Only one combination of scanning parameters was used (eg, helical pitch, reconstruction interval or section overlap, collimation). This was not the focus of the current study, but our colon phantom could be used to evaluate the effect of changes in these parameters on polyp detection (25,26). Especially important is evaluation of artifacts that cause rippling on the surface and could affect detection.

The colon phantom has limitations. Although the colon is from a real patient, the polyps are synthetic, and the relationship of their appearance to that of real polyps is unknown. Our observation, however, is that the synthetic polyps are very similar in appearance to many real polyps and experienced radiologists are unable to distinguish them from real polyps on either transverse CT scans or perspective endoluminal reconstruction images (11). All simulated polyps were nominally 10 mm in size and hemispheric. A wider variety of sizes and shapes of polyps must be studied. The effect of location of polyps relative to haustral folds may be important and needs to be studied. These techniques should be tested on real polyps.

In conclusion, we developed a computer algorithm that detected 100% (six of six) of polyps 10 mm or more in size in a colon phantom. Two of the smaller polyps could be detected by applying methods that enhance the edge profile of polyps. Our colon phantom provided an effective laboratory for the study of computer-assisted diagnostic methods for CT colonography. Additional studies need to be performed to determine the optimum shape criteria for detecting real polyps and to minimize the number of false-positive polyp detections.


    ACKNOWLEDGMENTS
 
We thank Andrew Dwyer, MD, for critically reviewing the manuscript and Carl Crawford, PhD (Analogic, Peabody, Mass), for providing the core of the CT simulator software.


    FOOTNOTES
 
Author contributions: Guarantors of integrity of entire study, R.M.S., C.F.B.; study concepts, R.M.S., C.F.B., J.D.M.; study design, R.M.S., C.F.B., S.N.; definition of intellectual content, R.M.S., C.F.B., S.N.; literature research, R.M.S., C.F.B.; clinical studies, C.F.B.; data acquisition, C.F.B., D.I.G., R.B.J.; data analysis, R.M.S., L.M.P., J.D.M.; manuscript preparation, R.M.S., C.F.B.; manuscript editing, R.M.S., C.F.B., S.N.; manuscript review, all authors


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 Materials and Methods
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